How Does Subtracting Negative Numbers Relate to Adding?

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SUMMARY

Subtracting negative numbers directly relates to the concept of addition. Specifically, subtracting a negative number is equivalent to adding its positive counterpart. For example, subtracting -7 translates to adding 7. Additionally, subtracting a positive number is the same as adding its negative equivalent, reinforcing the principle that the operation of subtraction can be viewed through the lens of addition.

PREREQUISITES
  • Understanding of basic arithmetic operations
  • Familiarity with the concept of negative numbers
  • Knowledge of the properties of addition and subtraction
  • Ability to interpret mathematical expressions and equations
NEXT STEPS
  • Study the properties of integers in arithmetic
  • Explore the concept of absolute values and their relation to negative numbers
  • Learn about the number line and how it visualizes addition and subtraction
  • Practice solving equations involving both positive and negative integers
USEFUL FOR

This discussion is beneficial for students learning basic arithmetic, educators teaching math concepts, and anyone seeking to clarify the relationship between subtraction and addition of negative numbers.

karush
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a. Subtracting 4 is the same as adding $\boxed{(-4)}$
b. Subtracting -7 is the same as adding $\boxed{(7)}$
c. Subtracting a positive number is the same as adding a
\boxed{negative} number, where that $\boxed{?}$ is opposite of the original number
d. Subtracting a negative number is the same as adding a
$\boxed{?}$ number, where that $\boxed{?}$ is opposite of the original number

ok they are trying to teach about using counters to add
but $\boxed{?}$ was kinda on of those boolean confusions
 
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I'm not sure what "opposite of the original number" is supposed to mean! You said before that "subtracting -7 is the same as adding 7" so you do know that "
d. Subtracting a negative number is the same as adding a POSITIVE number, where that POSITIVE number is the opposite of the original number. (If the "original number" is -7 then the "positive number" is 7.
 

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